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Moments of Products of Elliptic Integrals

2011/01/06 by J. G. Wan, Wan, James · 1 citation
Mathematics · #Mathematical functions and polynomials #Mathematical Inequalities and Applications #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.1101.1132

Abstract

We consider the moments of products of complete elliptic integrals of the first and second kinds. In particular, we derive new results using elementary means, aided by computer experimentation and a theorem of W. Zudilin. Diverse related evaluations, and two conjectures, are also given.

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